Details

analyze168.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Symmetry

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample61.0ms (2%)

Algorithm

1×

intervals

Results

36.0ms	127×	body	1024	valid
9.0ms	68×	body	512	valid
3.0ms	13×	body	2048	valid
3.0ms	29×	body	256	valid
1.0ms	19×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

58.3b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.7b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite97.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_2124`
31×	`add-sqr-sqrt_binary64_2146`
30×	`times-frac_binary64_2130`
17×	`add-cube-cbrt_binary64_2159`
8×	`cosh-undef_binary64_2318` `distribute-lft-out_binary64_2075`
7×	`sinh-undef_binary64_2317` `add-log-exp_binary64_2163` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
6×	`associate-/l*_binary64_2069`
5×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-/r*_binary64_2068`
3×	`pow1_binary64_2185` `cancel-sign-sub-inv_binary64_2090`
2×	`flip3--_binary64_2128` `flip--_binary64_2099` `associate-/l/_binary64_2071` `flip3-+_binary64_2127` `associate-/r/_binary64_2070` `flip-+_binary64_2098`
1×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `tanh-undef_binary64_2319` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

3 → 89

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series141.0ms (4.5%)

Error

0.7b

Counts

3 → 18

Calls

3 calls:

73.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
28.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
23.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5039	2484

prune83.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 2069 to 402 computations (80.6% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1×	`tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series57.0ms (1.8%)

Error

Counts

1 → 6

Calls

1 calls:

50.0ms

(tanh.f64 x)

Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4965	163
1	4965	163

prune10.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Error

Counts

18 → 2

Compiler

Compiled 127 to 76 computations (40.2% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(cosh.f64 x)
0.7b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068`
2×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `cosh-def_binary64_2310`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `sinh-def_binary64_2309` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070`

Counts

2 → 37

Calls

2 calls:

4.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(cosh.f64 x)

Compiler

Compiled 426 to 119 computations (72.1% saved)

series155.0ms (5%)

Error

Counts

2 → 12

Calls

2 calls:

110.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
36.0ms	(cosh.f64 x)

Compiler

Compiled 337 to 249 computations (26.1% saved)

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4899	615
1	4899	615

prune28.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Error

Counts

51 → 2

Compiler

Compiled 509 to 181 computations (64.4% saved)

regimes45.0ms (1.4%)

Accuracy

Total 0.0b remaining (86.5%)

Threshold costs 0.0b (86.5%)

Compiler

Compiled 382 to 292 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

Removed

()

end0.0ms (0%)

sample1.9s (62.4%)

Algorithm

1×

intervals

Results

986.0ms	3840×	body	1024	valid
270.0ms	1980×	body	512	valid
112.0ms	387×	body	2048	valid
86.0ms	1006×	body	256	valid
32.0ms	787×	body	128	valid

Compiler

Compiled 193 to 149 computations (22.8% saved)

Details

analyze168.0ms (5.4%)

sample61.0ms (2%)

simplify72.0ms (2.3%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite97.0ms (3.1%)

series141.0ms (4.5%)

simplify89.0ms (2.8%)

prune83.0ms (2.7%)

localize2.0ms (0.1%)

rewrite7.0ms (0.2%)

series57.0ms (1.8%)

simplify38.0ms (1.2%)

prune10.0ms (0.3%)

localize4.0ms (0.1%)

rewrite27.0ms (0.9%)

series155.0ms (5%)

simplify74.0ms (2.4%)

prune28.0ms (0.9%)

regimes45.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (62.4%)

Profiling